|
|
A035891
|
|
Coordination sequence for diamond structure D^+_30. (Edges defined by l_1 norm = 1.)
|
|
1
|
|
|
1, 0, 1800, 0, 541200, 0, 65520920, 0, 4296107040, 0, 177923724072, 0, 5119703270960, 0, 109262828065080, 536870912, 1814093339150400, 249644974080, 24305082449321800, 21968757719040, 270526359458466384
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).
Index entries for linear recurrences with constant coefficients, signature (0, 30, 0, -435, 0, 4060, 0, -27405, 0, 142506, 0, -593775, 0, 2035800, 0, -5852925, 0, 14307150, 0, -30045015, 0, 54627300, 0, -86493225, 0, 119759850, 0, -145422675, 0, 155117520, 0, -145422675, 0, 119759850, 0, -86493225, 0, 54627300, 0, -30045015, 0, 14307150, 0, -5852925, 0, 2035800, 0, -593775, 0, 142506, 0, -27405, 0, 4060, 0, -435, 0, 30, 0, -1).
|
|
MAPLE
|
f := proc(m) local k, t1; t1 := 2^(n-1)*binomial((n+2*m)/2-1, n-1); if m mod 2 = 0 then t1 := t1+add(2^k*binomial(n, k)*binomial(m-1, k-1), k=0..n); fi; t1; end; where n=30.
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|